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Finding the Fourth Proportional to 16,570.14, 22,866.12 and 9,491.64

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Solution

The fourth proportional to 16,570.14, 22,866.12 and 9,491.64 is: 13,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.14 : 22,866.12 = 9,491.64 : x
  2. Step 2: Convert to fraction form
    16,570.14/22,866.12 = 9,491.64/x
  3. Step 3: Cross multiply
    16,570.14x = 22,866.12 × 9,491.64
  4. Step 4: Simplify right side
    16,570.14x = 217,036,979.24
  5. Step 5: Solve for x
    x = 217,036,979.24/16,570.14
  6. Step 6: Final answer
    x = 13,098.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.